Suppose the price p, in dollars, and number of sales, x, of an item is related by 5 8 6 50 p x px + + = . If p and x are functions of time, measured in days, find the rate at which x is changing when x = 15, p = 2.90 and dp/dt = -1.15

According to the information of the problem  x = 15 , p=2.90 and dp/dt = -1.15

then  

Step-by-step explanation:

Since everything is changing with respect to time and are related according to the following equation

We need to find the implicit derivative with respect to the time. And we get the following.

is what we don't know, so we solve for it and get

Now. According to the information of the problem  x = 15 , p=2.90 and dp/dt = -1.15

then  

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answer

see attachment

explanation

the given function is

this function has y-intercept at

-4 and a slope of 2.

note that, the graph has a positive slope.

the graph that represents this function is the straight line that moves upward from left to right.

the graph touches the y-axis at -4.

the correct choice is the graph shown in the attachment.